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Proof step 14 from proof binheap-inv-remove-wbufs (previous step)

2exp-size(# kar), m0 < m, m0 < # kar, heap-order(kar, m), no-dups-idx(kar, m), valid-idx(kar, lpt, m), m ≤ # kar ⊦ kar[m0].idx < # lpt ∧ lpt.mapIndices(ns, λ lp. lp.size:= LEB_SIZE)[kar[m0].idx].gcheapidx = m0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 15:
lpt.mapIndices(ns, λ lp. lp.size:= LEB_SIZE)[kar[m0].idx] = mklp(m1, m2, lpf, m3), 2exp-size(# kar), m0 < # kar, m0 < m, heap-order(kar, m), no-dups-idx(kar, m), valid-idx(kar, lpt, m), m ≤ # kar ⊦ kar[m0].idx < # lpt ∧ m3 = m0

Rule argument

spec: lprops name: elim seq: ⊦ ((m = lp.ref-size ∧ m0 = lp.size) ∧ lpf = lp.flags) ∧ m1 = lp.gcheapidx ↔ lp = mklp(m, m0, lpf, m1) subst: [lp, m, m0, lpf, m1] → [lpt.mapIndices(ns, λ lp. lp.size:= LEB_SIZE)[kar[m0].idx], m1, m2, lpf, m3]

Additional information

Used simplifier rules: ⊦ ((m = lp.ref-size ∧ m0 = lp.size) ∧ lpf = lp.flags) ∧ m1 = lp.gcheapidx ↔ lp = mklp(m, m0, lpf, m1); (elim) Used terms: lpt.mapIndices(ns, λ lp. lp.size:= LEB_SIZE)[kar[m0].idx], m1, m2, lpf, m3